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Simplifying 0.4t + 3(1.2t + 0.09) = 21.1 Reorder the terms: 0.4t + 3(0.09 + 1.2t) = 21.1 0.4t + (0.09 * 3 + 1.2t * 3) = 21.1 0.4t + (0.27 + 3.6t) = 21.1 Reorder the terms: 0.27 + 0.4t + 3.6t = 21.1 Combine like terms: 0.4t + 3.6t = 4t 0.27 + 4t = 21.1 Solving 0.27 + 4t = 21.1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.27' to each side of the equation. 0.27 + -0.27 + 4t = 21.1 + -0.27 Combine like terms: 0.27 + -0.27 = 0.00 0.00 + 4t = 21.1 + -0.27 4t = 21.1 + -0.27 Combine like terms: 21.1 + -0.27 = 20.83 4t = 20.83 Divide each side by '4'. t = 5.2075 Simplifying t = 5.2075
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